2120093904096 has 576 divisors, whose sum is σ = 7212022272000. Its totient is φ = 600135008256.

The previous prime is 2120093904073. The next prime is 2120093904101. The reversal of 2120093904096 is 6904093900212.

It is a happy number.

2120093904096 is a `hidden beast` number, since 2 + 1 + 200 + 9 + 39 + 0 + 409 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4721812480 + ... + 4721812928.

It is an arithmetic number, because the mean of its divisors is an integer number (12520872000).

Almost surely, 2^{2120093904096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120093904096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606011136000).

2120093904096 is an abundant number, since it is smaller than the sum of its proper divisors (5091928367904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2120093904096 is a wasteful number, since it uses less digits than its factorization.

2120093904096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 2120093904096 in words is "two trillion, one hundred twenty billion, ninety-three million, nine hundred four thousand, ninety-six".